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• W2122778426 abstract "We study the Jahn-Teller effect of positive fullerene ions $^2$C$_{60}^{+}$ and $^1$C$_{60}^{2+}$. The aim is to discover if this case, in analogy with the negative ion, possesses a Berry phase or not, and what are the consequences on dynamical Jahn-Teller quantization. Working in the linear and spherical approximation, we find no Berry phase in $^1$C$_{60}^{2+}$, and presence/absence of Berry phase for coupling of one $L=2$ hole to an $L=4$/$L=2$ vibration. We study in particular the special equal-coupling case ($g_2=g_4$), which is reduced to the motion of a particle on a 5-dimensional sphere. In the icosahedral molecule, the final outcome assesses the presence/absence of a Berry phase of $pi$ for the $h_u$ hole coupled to $G_g$/$H_h$ vibrations. Some qualitative consequences on ground-state symmetry, low-lying excitations, and electron emission from C$_{60}$ are spelled out." @default.
• W2122778426 created "2016-06-24" @default.
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• W2122778426 date "1996-09-01" @default.
• W2122778426 modified "2023-10-03" @default.
• W2122778426 title "Dynamical Jahn-Teller effect and Berry phase in positively charged fullerenes: Basic considerations" @default.
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• W2122778426 doi "https://doi.org/10.1103/physrevb.54.7157" @default.
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